Apply unknownprop_a3a7565e6ec36921ef8d95ac6064e5fb0324fd3fb8dbfeef6aeadeb5800cae4a with
λ x0 x1 : ι → ο . ∀ x2 . x1 x2 ⟶ x1 (ordsucc x2).
Let x0 of type ι be given.
Assume H0:
∀ x1 : ι → ο . x1 0 ⟶ (∀ x2 . x1 x2 ⟶ x1 (ordsucc x2)) ⟶ x1 x0.
Let x1 of type ι → ο be given.
Assume H1: x1 0.
Assume H2:
∀ x2 . x1 x2 ⟶ x1 (ordsucc x2).
Apply H2 with
x0.
Apply H0 with
x1 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.